I expect you've discovered that the rear window wash comes from a bottle in the back door - not the bottle in the front . . . . .
I had someone turn up at my place asking if I knew how to fix his 'non working' rear washer . . Yes I said, and filled the bottle

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A happy chappie !
On the Auto, the Transfer Lever is mounted on an extension piece that links the Auto box and Transfer Box. This means that the Transfer Selector Shafts stick out of the front of the Transfer Box, unlike on a manual where they are inside.
The protruding bits rust - resulting in a stiff or seized Transfer Lever (I'll look for a picture . . ).
Rusty Selector Shafts on an 'Auto' Transfer Box (this wasn't bad enough to cause a problem).
See the blanking plate on top ?? That's where the Transfer Lever Turret sits on a Manual Transmission.
The 'Auto' Transfer Box doesn't have Synchromesh on the High/Low engagement gear whereas the Manual one does. I think the electrical gremlins require an 'Auto' to be stationary with the Auto Box in neutral before swapping High/Low. Manuals can be changed (carefully) on the (very low speed) move

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Bob.